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Numbers In Expanded Form

More Lessons for Grade 3

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These lessons, with videos, examples, and solutions, teach Grade 3 students how to write numbers in expanded form.

Expanded form is a way of representing a number as the sum of its place value components. Writing a number in expanded form shows the value of each digit.

The following diagram shows how to write a number in expanded form. Scroll down the page for more examples and solutions.

Here’s an example of a number expressed in expanded form:

Example:

Write 536 in expanded form:

536 = 500 + 30 + 6

In this example, the number 536 is expressed as the sum of its place value components: 500 (in the hundreds place), 30 (in the tens place), and 6 (in the units place).

Let’s try another example:

Example:

Write 9,845 in expanded form:

9,845 = 9,000 + 800 + 40 + 5

In this example, the number 9,845 is expressed as the sum of its place value components: 9,000 (in the thousands place), 800 (in the hundreds place), 40 (in the tens place), and 5 (in the units place).

**Expanded Notation: How can I write numbers in expanded form?**

Write the following in expanded form:

- 598
- 9,507
- 75,080
- 900,862
- 9,604,008
- 28,070,501

**Standard Form, Expanded Form, and Word Form of Numbers**

Learn to write numbers in standard, expanded, and word form.
Here are the definitions and examples of standard form, expanded form, and word form of numbers:

**Standard Form**: Standard form, also known as normal form or standard notation, is the conventional way of writing a number using digits. In standard form, a number is written with digits and follows the usual rules of place value, where each digit represents a specific place value in the number.

Example:

Standard Form: 345,678

**Expanded Form**: Expanded form is a way of writing a number as the sum of its place values. It breaks down a number into its individual digits and shows the value of each digit based on its place value.

Example:

Expanded Form: 300,000 + 40,000 + 5,000 + 600 + 70 + 8

**Word Form**: Word form is a way of writing a number using words. It represents the number using words for each digit, following the rules of place value.

Example:

Word Form: Three hundred forty-five thousand six hundred seventy-eight

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